Search a number
-
+
300196816203672 = 23334435003627073
BaseRepresentation
bin100010001000001110000010…
…0100101111010111110011000
31110100220112110021100122212000
41010100130010211322332120
5303321411034422004142
62542244302530321000
7120142334645552043
oct10420340445727630
91410815407318760
10300196816203672
11877198336a5393
12298041a2429160
13cb67590c3992b
14541b863b49c5a
1524a8c1c53614c
hex111070497af98

300196816203672 has 128 divisors (see below), whose sum is σ = 835930778054400. Its totient is φ = 99819608518656.

The previous prime is 300196816203577. The next prime is 300196816203701. The reversal of 300196816203672 is 276302618691003.

300196816203672 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 9 + 6 + 8 + 1 + 620 + 3 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478413528 + ... + 479040600.

It is an arithmetic number, because the mean of its divisors is an integer number (6530709203550).

Almost surely, 2300196816203672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300196816203672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417965389027200).

300196816203672 is an abundant number, since it is smaller than the sum of its proper divisors (535733961850728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300196816203672 is a wasteful number, since it uses less digits than its factorization.

300196816203672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632534 (or 632524 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 300196816203672 in words is "three hundred trillion, one hundred ninety-six billion, eight hundred sixteen million, two hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 443 886 1329 1772 2658 3544 3987 5003 5316 7974 10006 10632 11961 15009 15948 20012 23922 30018 31896 40024 45027 47844 60036 90054 95688 120072 135081 180108 270162 360216 540324 627073 1080648 1254146 1881219 2216329 2508292 3762438 4432658 5016584 5643657 6648987 7524876 8865316 11287314 13297974 15049752 16930971 17730632 19946961 22574628 26595948 33861942 39893922 45149256 53191896 59840883 67723884 79787844 119681766 135447768 159575688 239363532 277793339 478727064 555586678 833380017 1111173356 1666760034 2222346712 2500140051 3137246219 3333520068 5000280102 6274492438 6667040136 7500420153 9411738657 10000560204 12548984876 15000840306 18823477314 20001120408 25097969752 28235215971 30001680612 37646954628 56470431942 60003361224 75293909256 84705647913 112940863884 169411295826 225881727768 338822591652 677645183304 1389800075017 2779600150034 4169400225051 5559200300068 8338800450102 11118400600136 12508200675153 16677600900204 25016401350306 33355201800408 37524602025459 50032802700612 75049204050918 100065605401224 150098408101836 300196816203672